Solve 72/10-frac{10{3}}

$$\frac { 72 } { 10 - \frac { 10 } { 3 } }$$

Evaluate

$$\frac{54}{5}=10.8$$

Solution Steps

Convert 10 to fraction \frac{30}{3}.

$$\frac{72}{\frac{30}{3}-\frac{10}{3}}$$

Since \frac{30}{3} and \frac{10}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{72}{\frac{30-10}{3}}$$

Subtract 10 from 30 to get 20.

$$\frac{72}{\frac{20}{3}}$$

Divide 72 by \frac{20}{3} by multiplying 72 by the reciprocal of \frac{20}{3}.

$$72\times \frac{3}{20}$$

Express 72\times \frac{3}{20} as a single fraction.

$$\frac{72\times 3}{20}$$

Multiply 72 and 3 to get 216.

$$\frac{216}{20}$$

Reduce the fraction \frac{216}{20} to lowest terms by extracting and canceling out 4.

$$\frac{54}{5}$$

Factor

$$\frac{2 \cdot 3 ^ {3}}{5} = 10\frac{4}{5} = 10.8$$